Simulation and Visualization of Chaotic Systems

Athanasios I. Margaris

Abstract

The objective of this paper is to present a suite of applications that allow the simulation and study of chaotic systems, as well as the estimation of the most important properties associated with them. These applications implement fundamental algorithms from the field of chaotic system dynamics, such as the reconstruction of the system trajectory in the appropriate embedding space, and the estimation of the Lyapunov exponents and the fractal dimension. Furthermore, they provide additional features such as the study of bifurcation diagrams and the detection of chaotic regions in the parameter space. The current version of the applications has been developed in the programming framework of Visual C++ 6.0 and they can be used under the operating system of Microsoft Windows.

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